Base | Representation |
---|---|
bin | 1000000111011… |
… | …00100000000000 |
3 | 11202002200212102 |
4 | 10003230200000 |
5 | 114411440233 |
6 | 10431045532 |
7 | 1454435606 |
oct | 403544000 |
9 | 152080772 |
10 | 68077568 |
11 | 35478759 |
12 | 1a9708a8 |
13 | 111477b0 |
14 | 9081876 |
15 | 5e9b1e8 |
hex | 40ec800 |
68077568 has 48 divisors (see below), whose sum is σ = 146650140. Its totient is φ = 31408128.
The previous prime is 68077567. The next prime is 68077577. The reversal of 68077568 is 86577086.
It can be written as a sum of positive squares in 2 ways, for example, as 64513024 + 3564544 = 8032^2 + 1888^2 .
It is not an unprimeable number, because it can be changed into a prime (68077567) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25346 + ... + 27902.
Almost surely, 268077568 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 68077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73325070).
68077568 is an abundant number, since it is smaller than the sum of its proper divisors (78572572).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68077568 is a wasteful number, since it uses less digits than its factorization.
68077568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2592 (or 2572 counting only the distinct ones).
The product of its (nonzero) digits is 564480, while the sum is 47.
The square root of 68077568 is about 8250.9131615840. The cubic root of 68077568 is about 408.3206501498.
The spelling of 68077568 in words is "sixty-eight million, seventy-seven thousand, five hundred sixty-eight".
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